Find the perimeter of a parallelogram whose base is 8cm and another side is 12cm
Answers
A parallelogram
P=2(a+b)
The answer is 64
P=2(a+b)=2·(24+8)=64
Related Questions
On a coordinate plane, a point is 4 units to the left and 1 unit down.
For the point shown:
The x-coordinate is
.
The y-coordinate is
.
The point is in quadrant
.
.
Answers
The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.
In which quadrant is the point?First, remember that for a point (x, y):
if x >0, y > 0, then the point is in quadrant I.if x <0, y > 0, then the point is in quadrant II.if x < 0, y < 0, then the point is in quadrant III.if x >0, y < 0, then the point is in quadrant IV.For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:
(-4, -1)
Then we can see that this point is on the quadrant III.
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29. Assertion :7√5, √2+21 are the irrational number. Reason: every integer is an rational number 30.
Answers
The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.
The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.
An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.
In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.
Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.
The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.
In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.
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Crane Corporation is considering purchasing a new delivery truck. The new truck would cost $55,440. The new truck is expected to generate a cost savings of $7,700. At the end of 8 years, the company will sell the truck for an estimated $27,600.
Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company's cost of capital is 8%.
a) Compute the cash payback period and net present value of the proposed investment.
b) Does the project meet the company's cash payback criteria?
c) Does it meet the net present value criteria for acceptance?
Answers
A. The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.
B. No, the project does not meet the company's cash payback criteria.
C. Yes, the project does meet the net present value criteria for acceptance.
How do we solve for the net present value of the proposed investment?A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.
$55,440 / $7,700 = 7.2 years
To solve for the net present value, we say
Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.
NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63
+ ($7,700 / (1 + 0.08)²) = 6601.51
+ .($7,700 / (1 + 0.08)³ = 6112.51
+ ($7,700 / (1 + 0.08)⁴) = 5659.73
+ ($7,700 / (1 + 0.08)⁵) = 5240.49
+ ($7,700 / (1 + 0.08)⁶) = 4 852.31
+ ($7,700 / (1 + 0.08)⁷) = 4492.88
+($7,700 / (1 + 0.08)⁸) = 4160.07
+ ($27,600 / (1 + 0.08)⁸)) = 14911.42
- $55,440
We add all these values together and subtract by $55,440
7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440
59160.55 - 55,440
NPV = 3720.55
B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.
C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.
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how do I understand implicit function
Answers
Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.
Step-by-step explanation: To find the implicit derivative,
Differentiate both sides of f(x, y) = 0 with respect to x.
Apply usual derivative formulas to differentiate the x terms.
Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.
Solve the resultant equation for dy/dx (by isolating dy/dx).
PLEASE HELP FAST!! IT IS URGENT!!
Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B = the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What iS the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here.
O 0.159
O 0.259
O 0.448
O 0.741
Answers
Step-by-step explanation:
The probability that Becky's proportion of poses held for over a minute is greater than Carla's is 0.741.
This can be determined by using the z-table, which shows the probability that a random variable is in the range that is a certain distance away from the mean.
In this case, we are looking at the probability that a random variable is greater than C, so we use the z-value for 0.741.
Convert the fraction below into a decimal 23/40?
Answers
Answer:
Step-by-step explanation:
23/40 = 0.575
Frank has 63 baseball and hockey cards. Three times the number of baseball cards minus four times the number of hockey cards is 126. How many of each kind of card does he own? Frank has Blank 1 baseball cards and Blank 2 hockey cards.
Answers
Therefore, Frank has 54 baseball cards and 9 hockey cards.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by an equals sign (=). The expressions on either side of the equals sign can contain numbers, variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true.
Here,
Let's use algebra to solve the problem.
Let B be the number of baseball cards that Frank has, and let H be the number of hockey cards that he has. Then we have two equations:
B + H = 63 (the total number of cards is 63)
3B - 4H = 126 (three times the number of baseball cards minus four times the number of hockey cards is 126)
We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for H:
H = 63 - B
Substitute this expression for H in the second equation:
3B - 4(63 - B) = 126
Simplify and solve for B:
3B - 252 + 4B = 126
7B = 378
B = 54
Now we can use either of the two equations to solve for H. Let's use the first one:
B + H = 63
54 + H = 63
H = 9
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3. Study Hours (Based on Exercise 8.7) Babcock and Marks (2010) reviewed survey data from 2003–2005 and obtained an average of µ = 14 hours per week spent studying by full-time students at 4-year colleges in the United States. To determine whether this average changed over the 10 subsequent years, a researcher selected a sample of = 64 of college students. The data file hours.csv has data consistent with what the researcher found. In this question, you will use the data to if this sample indicates a significant change in the number of hours spent studying.
a. Which of the following are the hypotheses to test if this sample indicates a significant change in the average number of hours spent studying?
i. 0: µ = 14 and 1: µ < 14
ii. 0: µ = 14 and 1: µ ≠ 14
iii. 0: µ = 14 and 1: µ > 14
Answers
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
Option B is the correct answer.
We have,
The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,
while the alternative hypothesis states that it is different from 14 hours per week.
By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.
Thus,
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
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For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
Answers
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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Two equations are given.
y = -8x + 56
2x+2y=6
Which ordered pair will satisfy both equations?
O(-4,-24)
O(-2, -12)
O (2, 12)
(4,24)
Answers
The ordered pair which will satisfy both equations is (4,24) thus option (D) is correct.
What is the equation?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
As per the given system of equations,
y = -8x + 56
2x+2y = 56
Divide by 2 into both sides of the second equation as
(2x+ 2y)/2 = 56/2
x + y = 28
Since the only pair (4,24) whose sum is 28 thus this will be correct.
Hence "The ordered pair that will converge to both equations is (4,24)".
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The correct question below,
if x=-3 what is the value of 3x-2y/y-x
Answers
Answer:
(-9 - 2y) / y + 3
Step-by-step explanation:
I just simplified it because y doesnt have a value
The length of a rectangular book is 2 times its width. The perimeter of the book is 42 inches. Write a system of
equations to represent the dimensions of the book then find the length and width.
Answers
Answer:
Mark me as brainlist
Step-by-step explanation:
P = Perimeter
L = Length
W = Width
Perimeter of rectangle = L + L + W + W
or P = 2L + 2W
You know:
P = 36 inches
L = 2W [length is(=) 2 times it's width]
W = ?
P = 2L + 2W
Substitute/plug in what you know, plug in 2W for L since L = 2W
36 = 2(2W) + 2W Simplify
36 = 4W + 2W
36 = 6W Divide 6 on both sides
6 = W Now that you know the width, you can find the length:
L = 2W
L = 2(6)
L = 12
L = 12 in
W = 6 in
PROOF
P = 2(12) + 2(6)
P = 24 + 12
P = 36
In the equation f(x)= 5(x+3)^2-10 what effect does the 5 do when compared to the parent function?
A. Vertical compress by a factor of 5
B. Vertical shift up 5 units
C. Reflect over x-axis
D. Vertical stretch by a factor of 5
Answers
Answer:
The correct answer is A. Vertical compress by a factor of 5
Step-by-step explanation:
When graphed without the 5, the curve is very wide, but when the 5 is added, the curve compresses and narrows itself, therefore a vertical compress occurs by the factor of 5.
Answer:
it's B l did this in class
can someone please help me figure this out
Answers
Suppose that at Northside High, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6.0. We take a simple random sample of 36 seniors and calculate the sample mean homework hours per week. What is the mean of the sampling distribution of means for the 36 students
Answers
Answer:
The mean of the sampling distribution of means for the 36 students is of 18.6 homework hours per week.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
For the population, the mean is 18.6. So, by the Central Limit Theorem, the mean of the sampling distribution is also 18.6.
You can use the CTL(Central Limit Theorem) here.
The mean of the sampling distribution of means for the 36 students is 18.6
Given that:The number of hours per week that seniors spend on homework is approximately normally distributed with mean 18.6 and std. deviation 6.0Simple random sampling is done of 36 senior and the sample mean is calculated.To find:Mean of the sampling distribution of means for the 36 students.
What does Central Limit Theorem states?There are many variants, but for this case, it states that:
If X is a normally distributed random variable with mean \(\mu\)standard deviation \(\sigma\) random sample taken with size n (large and large n) is approximately normally distributed (the more large n is, the more close to this normal distribution it tends to) with mean \(\mu\) standard deviation \(\sigma\).
Thus, the mean of means of random samples taken is given by mean of the original population, which is 18.6
Thus, the mean of the sampling distribution of means for the 36 students is 18.6
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If contribution margin is $70000, sales is $120000, and net income is $50000, then variable and fixed expenses are
Variable Fixed
a) $190000 $70000
b) $50000 $20000
c) $50000 $70000
d) $20000 $50000
Answers
Answer:
c) $50000 $70000
Step-by-step explanation:
!!!!!!!
In a survey of 280 adults over 50, 75% said they were taking vitamin supplements. Find the margin of error for this survey if we want a 99% confidence in our estimate of the percent of adults over 50 who take vitamin supplements. (Round to the nearest thousandths.)
Answers
The margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067
The formula for calculating the margin of error is expressed as:
\(e= z \cdot \sqrt{\frac{p(1-p)}{n} }\)
p is the proportion
n is the sample size
Given the following parameters;
p = 75% = 0.75
n = 280
z = 2.576
Substitute into the formula
\(e=\sqrt{\frac{0.75(1-0.75)}{280} }\\e=\sqrt{\frac{0.1875}{280} } \\e=\sqrt{0.0006964} \\e=0.0258 \times 2.576\\e \approx 0.067\)
Hence the margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067
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Carys is checking her tax bill for the last year.
The tax rates were as follows:
• No tax on the first £11 000 of earnings
• Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%
• Earnings in excess of £43 000 and up to £150 000 taxed at a rate of 40%
• Earnings over £150 000 taxed at a rate of 45%
Last year, Carys earned £45 600 before tax.
How much tax did she pay in total?
Answers
Answer:
$7,440.
Step-by-step explanation:
$0-$11,000 = no tax.
$11,000-$43,000 = 20%.
$43,000-$150,000 = 40%.
The earnings over $150,000 = 45%. etc....
$45,600, = Revenue
Tax is 11000-43000 is = 0.20 * (32000)
= 11000-43000 = 6400
Tax is 43000-45,600 is = 0.40 *(2600)
= 45,600-43000 = 1040
=6400+1040 =7440
If f(–1) for the polynomial is –2, f(x) =2x^4 =2x-5 is -2 can you use the Factor Theorem to find the other factor?
Answers
The value of the function for the other factors will be -1.41 and - 3.90 respectively.
What is a factorization?It is a method for dividing a polynomial into parts, each of which will be multiplied. At this moment, the polynomial's value will be zero.
Given function;
f(x) =2x⁴ - 2x-5
The roots (zeros) are the
x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.
x≈−1.089744,1.40581409
The value of the function for the other factors;
f(x) =2x⁴ - 2x-5
f(−1.089744) = 2(−1.089744)⁴-2(1.089744)-5
f(−1.089744) = -1.41
f(x) =2x⁴ - 2x-5
f(1.40581409) = 2(1.40581409)⁴-2(1.40581409)-5
f(−1.089744) = - 3.90
The value of the function for the other factors will be -1.41 and - 3.90 respectively.
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find the measure of minor arc RV
Answers
The measure of the minor arc m∡rv = 111°
What is the explanation for the above response?Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c
Where a = ∡RV
b = ∡SU = 37°:
and c = ∠T (the angle between intersecting secants.
Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:
(a - 37) / 2 = 37
Multiplying both sides by 2 gives:
a - 37 = 74
Adding 37 to both sides gives:
a = 111
Therefore, a is equal to m∡rv = 111°.
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A/60
B/45
C/105
The measurement of angle A is
The measurement of angle B is
The measurement of angle Cis
Answers
The second pair of points representing the solution set of the system of equations is (-6, 29).
To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.
Given the system of equations:
y = x^2 - 2x - 19
y + 4x = 5
Substituting the x-coordinate of the second point (-6) into equation 2:
y + 4(-6) = 5
y - 24 = 5
y = 5 + 24
y = 29
Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).
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Question
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
y = x2 − 2x − 19
y + 4x = 5
The pair of points representing the solution set of this system of equations is (-6, 29) and
_________.
The depth of water in a tank thats in the shape of a rectangular prism is inversely proportional to the area of its base if the tanks volume is kept constant. if the area of the tanks base is 200 square feet, the depth of the water in the tank is 12 feet. which pair of statements best describe this situation
Answers
The relationship between the depth(d), the base area (b) and volume (V) is d = 2400/b
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Let d represent the depth of the tank, b represent the area of the base and V represent the volume.
The depth of water is inversely proportional to the area of its base at constant volume. Hence
d = V/b
When b = 200 ft² and d = 12:
12 = V/200
V = 2400
d = 2400/b
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14. Which of the following is the proper method to correct a medical record?
A. Draw a single line through the entry and write "error," including the date, time, and initials of the person correcting.
B. Write "error" next to the entry and the initials of the person correcting the error.
OC. Draw a single line through the entry and write date and time.
OD. Draw a line through the entry.
Need help asap plsss‼️‼️‼️
Answers
Answer:
Choice A. Draw a single line through the entry and write "error," including the date, time, and initials of the person correcting.
Step-by-step explanation:
Not sure why this is posted under mathematics but here is the answer:
According to the American Health Information Management Association(AHIMA), the proper method to correct a medical record is as follows:
Draw line through entry (thin pen line). Make sure that the inaccurate information is still legible.Initial and date the entry.State the reason for the error (i.e. in the margin or above the note if room).Document the correct information. If the error is in a narrative note, it may be necessary to enter the correct information on the next available line/space documenting the current date and time and referring back to the incorrect entry.The closest option to the above procedure is
A. Draw a single line through the entry and write "error," including the date, time, and initials of the person correcting.
This includes both date-time stamp and initials of person correcting for follow-up if necessary
Answer:
The answer is choice A. Draw a single line through the entry and write "error," including the date, time, and initials of the person correcting.
The graph for the equation y = 2 x + 4
On a coordinate plane, a line goes through (negative 2, 0) and (0, 4).
If another equation is graphed so that the system has one solution, which equation could that be?
A) y = 2 x minus 4
B) y = 2 (x + 2)
C) y = 2 (x minus 4)
D) y = x + 4
Answers
Answer:
a
Step-by-step explanation:
3/4x - 1/6 = 2/3 solve for x
Answers
Answer: I’m pretty sure the answer is 1 1/9
Step-by-step explanation:
The exact form is 10/9
x=1.1
X=1 1/9
Pls help it is khan academy pls and thx! :)
Answers
Open dot= >
Arrow is pointing > so
Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answers
Hey did you find the answer to it yet ? Because I’m having a hard time as well
number 5 find the general solution to the differentiabel equation
Answers
To solve the differential equation, proceed as follows:
\(\begin{gathered} \frac{dy}{dx}=2y-1 \\ \frac{1}{2y-1}dy=1dx \end{gathered}\)Integrate each side of the equation:
\(\begin{gathered} \int \frac{1}{2y-1}dy=\int 1dx \\ \frac{1}{2}\ln |2y-1|=x+C \end{gathered}\)Solve for y:
\(\begin{gathered} \ln |2y-1|=2x+C \\ e^{\ln |2y-1|}=e^{2x+C} \\ 2y-1=e^{2x}e^C \\ 2y=Ce^{2x}+1 \\ y=\frac{Ce^{2x}+1}{2} \end{gathered}\)Substitution method:
\(\begin{gathered} \int \frac{1}{2y-1}dy \\ u=2y-1 \\ du=2dy \\ dy=\frac{du}{2} \\ \int \frac{1}{2u}du \\ \frac{1}{2}\int \frac{1}{u}du \\ \frac{1}{2}\ln |u| \\ \frac{1}{2}\ln |2y-1| \end{gathered}\)what is the sum all the numbers added up from 17 to 43?
HELP ME NOW!!!
Answers
Answer:
810
Step-by-step explanation:
17+18+19......40+41+42+43= 810